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Anharmonic effects in an atomic monolayer thin crystal with honeycomb lattice structure are investigated by analytical and numerical lattice dynamical methods. Starting from a semi-empirical model for anharmonic couplings of third and…

Materials Science · Physics 2015-05-20 K. H. Michel , S. Costamagna , F. M. Peeters

Phonon decoherence determines the characteristic timescales over which coherent lattice vibrations decay, making it a crucial process for understanding the non-equilibrium dynamics of crystal lattices after excitation by a pump pulse. Here,…

Strongly Correlated Electrons · Physics 2025-02-04 Yiming Pan , Christoph Emeis , Stephan Jauernik , Michael Bauer , Fabio Caruso

This paper deals with the numerical integration of Hamiltonian systems in which a stiff anharmonic potential causes highly oscillatory solution behavior with solution-dependent frequencies. The impulse method, which uses micro- and…

Numerical Analysis · Mathematics 2014-07-23 Christian Lubich , Daniel Weiss

The problem of the phonon bottleneck in the relaxation of two-level systems (spins) to a narrow group of resonant phonons via emission-absorption processes is investigated from the first principles. It is shown that the kinetic approach…

Statistical Mechanics · Physics 2008-05-06 D. A. Garanin

In recent years, nanostructuring of dielectric and semiconducting crystals has enhanced controllability of their thermal conductivity. To carry out computational material search for nanostructured materials with desirable thermal…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Takuma Shiga , Daisuke Aketo , Lei Feng , Junichiro Shiomi

We introduce a lattice dynamics package which calculates elastic, thermodynamic and thermal transport properties of crystalline materials from data on their force and potential energy as a function of atomic positions. The data can come…

Complex frequency excitations, oscillating signals whose amplitude decreases exponentially in time, have recently been demonstrated to significantly increase the effective quality factor of mechanical resonators. In this work, we…

Classical Physics · Physics 2026-05-14 Wenbo Li , Raj Kumar Pal

The problem of quantum harmonic oscillator with "regular+random" square frequency, subjected to "regular+random external force, is considered in framework of representation of the wave function by complex-valued random process. Average…

Quantum Physics · Physics 2007-05-23 A. S. Gevorkyan , A. A. Udalov

We apply the compressive sensing lattice dynamics (CSLD) method to calculate phonon dispersion for crystalline solids. While existing methods such as frozen phonon, small displacement, and linear response are routinely applied for phonon…

Materials Science · Physics 2019-11-25 Fei Zhou , Babak Sadigh , Daniel Aberg , Yi Xia , Vidvuds Ozolins

In this paper, we investigate the asymptotic error distributions of symplectic methods for stochastic Hamiltonian systems and further provide Hamiltonian-specific analysis that clarifies the superiority of symplectic methods. Our…

Numerical Analysis · Mathematics 2025-12-04 Chuchu Chen , Xinyu Chen , Jialin Hong , Yuqian Miao

We investigate high-order harmonic generation in inhomogeneous media for reduced dimensionality models. We perform a phase-space analysis, in which we identify specific features caused by the field inhomogeneity. We compute high-order…

Atomic Physics · Physics 2016-05-25 C. Zagoya , M. Bonner , H. Chomet , E. Slade , C. Figueira de Morisson Faria

Information-based uncertainty measures like Shannon entropy, Onicescu energy and Fisher information (in position and momentum space) are employed to understand the effect of \emph{symmetric and asymmetric} confinement in a quantum harmonic…

Quantum Physics · Physics 2019-04-15 Abhisek Ghosal , Neetik Mukherjee , Amlan K. Roy

Phonons crucially impact a variety of properties of organic semiconductor materials. For instance, charge- and heat transport depend on low-frequency phonons, while for other properties, such as the free energy, especially high-frequency…

We present a new method to calculate meson spectral functions (SPFs) on the lattice based on a variational method. Because, on a finite volume lattice, the meson SPFs have discrete spectra only, a suitable way to extract such discrete…

High Energy Physics - Lattice · Physics 2011-01-10 H. Ohno , S. Aoki , S. Ejiri , K. Kanaya , Y. Maezawa , H. Saito , T. Umeda

The anharmonic contribution to phonon lifetime and its temperature dependence is calculated from first principle in C, Si and Ge using third-order density-functional perturbation theory. Good agreement with available experimental data is…

Condensed Matter · Physics 2007-05-23 Alberto Debernardi , Stefano Baroni , Elisa Molinari

The recent experimental progresses in handling microscopic systems have allowed to probe them at levels where fluctuations are prominent, calling for stochastic modeling in a large number of physical, chemical and biological phenomena. This…

Statistical Mechanics · Physics 2017-03-08 Stefano Bo , Antonio Celani

We present an efficient sampling method for computing a partition function and accelerating configuration sampling. The method performs a random walk in the $\lambda$ space, with $\lambda$ being any thermodynamic variable that characterizes…

Computational Physics · Physics 2010-03-02 Cheng Zhang , Jianpeng Ma

We relate the phase separation observed in many crystals with pronounced electron correlations to the regions of negative electron compressibility. They were found in several models describing strong electron correlations. At low…

Strongly Correlated Electrons · Physics 2022-10-25 Alexei Sherman

Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

Methodology · Statistics 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

The dynamics of active particles is of interest at many levels and is the focus of theoretical and experimental research. There have been many attempts to describe the dynamics of particles affected by random active forces in terms of an…

Statistical Mechanics · Physics 2020-01-08 Dan Wexler , Nir S. Gov , Kim Ø. Rasmussen , Golan Bel
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